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Graph theoretical procedures for determination of eigenspectra of molecular graphs: A brief review
Institution:1. Selvamm Arts and Science College, Namakkal, 637 003, Tamilnadu, India;2. Adiyamaan College of Engineering, Hosur, 635 209, Tamilnadu, India;3. Department of Physics, Periyar University, Salem, 636 011, Tamilnadu, India;1. Department of Mathematics, Bajkul Milani Mahavidyalaya, Purba Medinipur, 721 655, India;2. Department of Mathematics, University of Gour Banga, Malda, 732 103, India;3. Department of Applied Mathematics, Vidyasagar University, Midnapore, 721 102, India;1. Aryabhatta Centre for Nanoscience & Nanotechnology, Aryabhatta Knowledge University, Patna, 800001, India;2. Dept. of Zoology, A N College, Patna and Dept. of Education, Govt. of Bihar, India;1. Department of Electronics and Communication, M. S. Ramaiah Institute of Technology, Bangalore, 560054, India;2. Centre for Advanced Material Technology, M. S. Ramaiah Institute of Technology, Bangalore, 560054, India
Abstract:Several graph theoretical procedures for obtaining eigenvalues of π-conjugated molecules have been discussed. Procedures for generation of characteristic polynomial corresponding to a molecular graph and its subsequent solutions for obtaining graph eigenspectra have been mentioned briefly. Moreover discussions on Laplacian and distance polynomials that offer more physico-chemical information already not present in the characteristic polynomial have also been carried out shortly.
Keywords:Eigenspectra  Characteristic polynomial  Laplacian polynomial  Distance polynomial
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